| PERIODIC SOLUTIONS FOR GENERALIZED PREDATOR-PREY SYSTEMS WITH TIME DELAY AND DIFFUSION |
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| 引用本文： | 李必文. PERIODIC SOLUTIONS FOR GENERALIZED PREDATOR-PREY SYSTEMS WITH TIME DELAY AND DIFFUSION[J]. 数学物理学报(B辑英文版), 2004, 24(1): 151-160 |
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| 作者姓名： | 李必文 |
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| 作者单位： | Department of |
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| 基金项目： | 湖北省教育厅青年基金，湖北师范大学校科研和教改项目 |
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| 摘 要： | A set of easily verifiable sufficient conditions are derived for the existence of positive periodic solutions for delayed generalized predator-prey dispersion system x'1 (t) = x1 (t)g1 (t, x1 (t) ) - a1 (t)y(t)p1 (x1 (t) ) D1 (t)(x2(t) - x1 (t) ),x'2 (t) = x2 (t)g2 (t, x2 (t) ) - a2 (t)y(t)p2 (x2 (t) ) D2(t)(x1 (t) - x2 (t)),y' (t) = y(t) {-h(t, y(t) ) b1 (t)p1 (x1 (t - τ1 ) ) b2(t)p2(x2(t - τ2))],where ai(t), bi(t) and Di(t)(i = 1, 2) are positive continuous T-periodic functions, gi(t, xi)(i = 1,2) and h(t,y) are continuous and T-periodic with respect to t and h(t,y) ＞ 0 for y ＞ 0, t, y ∈ R, pi(x)(i = 1, 2) are continuous and monotonously increasing functions, and pi(xi) ＞ 0 for xi ＞ 0.
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| 关 键 词： | 时间延迟 时间微分 周期解 存在性 捕食-被捕食系统 |
PERIODIC SOLUTIONS FOR GENERALIZED PREDATOR-PREY SYSTEMS WITH TIME DELAY AND DIFFUSION |
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| Li Biwen. PERIODIC SOLUTIONS FOR GENERALIZED PREDATOR-PREY SYSTEMS WITH TIME DELAY AND DIFFUSION[J]. Acta Mathematica Scientia, 2004, 24(1): 151-160 |
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| Authors: | Li Biwen |
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| Affiliation: | Li Biwen Department of Mathematics,Hubei Normal University,Huangshi 435002,China |
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| Abstract: | |
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| Keywords: | Positive periodic solution continuation theorem of coincidence degree predator-prey system diffusion delay |
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